00:01
In this problem, we're being asked to factor 256 x to the 4th minus 81y to the 4.
00:06
Well, whenever we factor, the first time we look for is a greatest common factor, which in this case is just one, which doesn't really help us.
00:14
So now i'm going to look at both of my terms, and i realize that they're both perfect squares, and they're getting subtracted.
00:20
So this is simply just a difference of squares problem.
00:23
So when we factor the difference of squares, we're going to get a binomial times a binomial.
00:27
So to get the first terms in both of these binomials, we take the square root of the first term.
00:33
Well, the square root of 256 x to the fourth is 16x squared.
00:39
So the first term in our binomials is 16x squared.
00:44
Now, to get the second term in our binomials, we take the square root of the second term.
00:50
Well, the square root of 81y to the fourth is 9y squared.
00:55
So the second term in the binomial will be 9y squared.
01:00
And for our signs, remember, one's plus, one's minus...